The scattering cross section in a Coulomb field in two dimensions is obtained by solving the Schrödinger equation in parabolic coordinates. In contrast with the three-dimensional case, the result is different from the corresponding classical one and does not coincide with the Born approximation in general. The quantum-mechanical cross section depends on ℏ and reduces to the classical one in the limit ℏ→0.

Topics
Born approximation, Scattering theory, Schrodinger equations
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© 1997 American Association of Physics Teachers.
1997
American Association of Physics Teachers
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